10-26 Exercise 3: Find roots of a quadratic equation

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Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i
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Everything is fixed. Enjoy your time with The Judge :)
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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
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Your code has newline at the end sometime. You learned this lesson many times!
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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.
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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge
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56 Answers

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Hidden content!
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Hidden content!
#include <stdio.h>
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Hidden content!
#include <stdio.h>
#include <stdlib.h>

int main()

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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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Hidden content!
*  *      *      **
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}
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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Hidden content!
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
{
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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

int main()
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}
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#include  ***      *    
#include     **  * * *** 

int main()

{
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}
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#include  **      *
#include ****  *** * **
int main(void)
{
float a,b,c, D, x1, x2,i;
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}
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Hidden content!
#include   * **   **   
#include *   * ** **    ** *

int main()
{
   **  *  *  *** * **  ** ***  a, b, c,    *  ** x1,x2, realPart,    * *** 


 *******  **  ** ** * ** ** * *    *  * *  %lf   * *  ** ** *** *   &b, &c);


** *  *     *   **   * *  **  * **   * = b*b-4*a*c;

**    *  *** *** * * *  **     condition for real and different roots


* *** *  *   ** **   ** *  ** *** * for real and equal roots
   ** *****  **       *****  *    (determinant == 0)
*  *      **  ***** *** * * 
**  *  *  *  ** ** ***** * * **** * * **   *    *  **** = x2 = -b/(2*a);
 *  *****     ***** *** *   **  ****   ** *  ***   **    * ******  * of %.2fx^2 + %.2fx + %.2f = 0 are real and ***** * * a,b,c);
   *** ***             *** **** * * **  ***    * *  * **  ***  **   = x2 = ** * ** x1);
* *** *** * *      *** * 

               *  *   *  *  * * if (determinant > 0)
******  * ** ***  * *****
* **  * * *  ** *** **** ***  *** sqrt() function returns square root
 ** *  *** **      **   ******     *      ***  *         = **       ***** * 
  * *  * **  * **  * * * ***      *  *   *   *** * * ***       = *   *  *     * 

*  * **  *    *    * *** **** *   *  **  **  * *  * *  ****  *  * **  *   of %.2fx^2 + %.2fx + %.2f = 0 are real and **    *   * *  ***
   *  *     **   *         *  ** ** ** ***     * ***** * ** ***   ***  =   **** *   * x1);
**   * * *     *********   **   *   **  *        **  **** * *  ****  = * * * *  * x2);
 ****  *  * *  *  **  ** *  * if roots are not real
  ** ****  *  *  * ** *   **
**   * *   *  *  **    **** *
 ** * * ** *  *   **  * ***  ** **** *  **** ****   *  ** * = -b/(2*a);
** * *** *** * * **    **** *  * ******** *  ** * *  ** ********  =    * **  * *** * ****  *
 *        *  *** *   *** * ** *    *** * **    *    ** * ****** **   **  *     of %.2fx^2 + %.2fx + %.2f = 0 are complex and *******  * * * a,b,c);
****** ** * * *    **  **    * *  *   *      *  *    ***  = *   ** * **  *****  realPart,  **** * 
 *    * *  ****** ** *  * *  ** ****    *      * **  * ** ****   * = *** ***    **  realPart, ** * * *   **
 *** ** ***   * **   ** ***

*** * * **  * ** **    *   0;
}
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